# How do you factor #y^2-16+64#?

##### 1 Answer

Jan 24, 2016

#### Answer:

This trinomial is a perfect square trinomial, so can be factored as

#### Explanation:

The square root of 64 is 8 and the square root of

The middle term should be of the form 2ab. In this case, a=y and b= 8

So, 2(y)(8), or 16y, which is the middle term. This short proof justifies that it is indeed a perfect square trinomial.

= (y - 8)(y - 8)

=

Your answer is

**Exercises:**

- Out of the following trinomials, which is/are perfect square trinomial(s)?

a).

B)

C)

D)

- Factor the following perfect square trinomial:

Hopefully you understand now!